Below are a few ideas for projects to explore powers. Learners may come up with their own ideas, or they may want to modify one of the examples below. Save work often and make sure learners know that looping with exponents can freeze up a machine (know keyboard shortcuts).
Create an animation that draws circles that sequentially double in diameter.
You don’t have to be in high school math to play with conics, orbits, and projectile motion. This week (or month) learners can play with projectile motion, orbits, and conics sections with the activities below:
1.) Slicing cones
Learners can mold cones with clay and slice to see the possible shapes. This will give circles, ellipses, parabolas, and hyperbolas.
Create a cone sculpture with an intersecting plane using paper, string, pipe cleaners, or other mediums.
Create a straw rocket (don’t aim it at someone) and take slow motion videos of their flight and observe the curve that is created. For a template and activity, go to NASA’s website here. Look at various launch angles and analyze the differences and similarities in curves.
Create a water balloon launcher with PVC pipes (or other parent/teacher approved apparatuses). Record their launches and analyze. (Water rockets are also fun.)
Play with a garden hose and the curves created by shooting water up into the air.
Circles are so much fun! This week I encourage learners to get out their compasses or a circle to trace and start making patterns on paper. Patterns with circles can start simple, but can also get really complex. You can combine your compass with a straight edge and get amazing patterns and tiles. Try intersecting circles and then placing your compass at intersections and adding more circles. Shading with markers, ink, or colored pencils can make beautiful stained glass-like mosaics.
Here are some ideas to play with circles and art:
The Metropolitan Museum of art has a great activity here to take a look at Islamic art and geometry.
Cut out some of your patterns to make a puzzle.
Use tissue paper and make a see-through design on wax paper.
Go big with string and chalk outside for your designs!
Dip the top of a can or cup in paint and use it to create circle patterns on boards or fabric.
Try playing with the negative space within the art – see how it changes the tiles and overall appearance.
Use a digital drawing or design app and play with color pallets and design.
Try adding details and embellish.
Play with the Girih app (costs money) from the Apple app store.